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19693840 = 245246173
BaseRepresentation
bin100101100100…
…0000100010000
31101001112212111
41023020010100
520020200330
61542035104
7326252305
oct113100420
941045774
1019693840
1110131301
126718a94
134106c7a
1428890ac
151ae032a
hex12c8110

19693840 has 20 divisors (see below), whose sum is σ = 45788364. Its totient is φ = 7877504.

The previous prime is 19693829. The next prime is 19693853. The reversal of 19693840 is 4839691.

It can be written as a sum of positive squares in 2 ways, for example, as 10837264 + 8856576 = 3292^2 + 2976^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 19693793 and 19693802.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 123007 + ... + 123166.

Almost surely, 219693840 is an apocalyptic number.

19693840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

19693840 is an abundant number, since it is smaller than the sum of its proper divisors (26094524).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

19693840 is a wasteful number, since it uses less digits than its factorization.

19693840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246186 (or 246180 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 40.

The square root of 19693840 is about 4437.7742168794. The cubic root of 19693840 is about 270.0495565187.

The spelling of 19693840 in words is "nineteen million, six hundred ninety-three thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 246173 492346 984692 1230865 1969384 2461730 3938768 4923460 9846920 19693840